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Strategic Study of CAE >> 2010, Volume 12, Issue 9

A numerical wave model with weak nonlinearity and its application ability analysis

1. The College of Transportation & Logistics Engineering, Dalian Maritime University, Dalian, Liaoning 116026, China;

2. State Key Laboratory of Coastal and Offshore Engineer, Dalian University of Technology,Dalian,Liaoning 116024, China

Funding project:国家自然科学基金资助项目(50709004) Received: 2008-07-25 Revised: 2009-10-23 Available online: 2010-09-13 10:40:14.000

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Abstract

Based on the extended Boussinesq equation with weak nonlinearity, 2-D numerical model was established in nonstaggered grids by the finite difference method. The nonstaggered grids were used with the first-order spatial derivatives being discretized by the fourth-order and the second-order terms discertized by the second-order. For the time derivatives, a composite fourth-order accurate Adams-Bashforth Moulton scheme was used. Numerical simulation was done upon one-dimension and two-dimension wave propagations problem, and through the comparisons of numerical results with the related experimental data, the application of the extended Boussinesq equations were investigated.

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